Re: [Math4u] Please answer this question

So what, would it be three circles (A,B,C) contained in a large circle E? I have to admit being an absolute tyro when it comes to Venn Diagrams as this request was the first time I have heard of them, yet the request piqued my interest.

So as a tyro maybe I can help ch_mshahid with the help that Rob has offered. My error cam in because I misunderstood the wording. Actually, I read the query too quickly and thought he wanted one diagram to represent all possibilities.

The three triangles, Isoceles can, in a special case, be considered equilateral. This would be the case when the base of teh triable is equal in length to the two sides. Hence every equilateral triangle is potentially isoceles.

(Rob, would this be a correct assumption)

Now in the case of obtuse or scalene triangles. These to can be isoceles if two of the sides are of equal length. However, no scalene (obtuse) triangle could ever be equilateral.

So as far as I can figure it, the cirlce representing equilateral triangles would be be wholly enclosed within the circle representing Isoceles triangles.

Scalene can in special circumstances be Isoceles. Hence there would be an overlap between these two groups. However, since no equilateral triangle can be isoceles, there would be no overlap between these two, so

(I have tried to include a sketch but cannot seem to have it included)

B would be wholly indluded within A, and there would be an overlap between C and A but not C and B.

Hope my words can portray what would have been better as a picture

 

On 10/26/07, Rob van Wijk <robvanwijk@gmx.net> wrote:

No, it wouldn't, since in a Venn diagram, drawing circles on top of
each other means complete equality.
Before thinking about how to draw it, first think of how all the sets
of triangles are related to each other. For instance, if a particular
triangle is in set A:
- can it be in B also?
- or maybe it has to be in B as well?
After you have a clear idea about the relations between the different
sets, then you can start drawing the Venn diagram. If you don't know
what a Venn diagram looks like in the first place, just Google for a
couple of examples (select "Images" and use a search string such as
"venn diagram").

HTH,
Rob

-------- Original-Nachricht --------
> Datum: Thu, 25 Oct 2007 19:15:48 +0200
> Von: "Douglas Anderson" <djandersonza@gmail.com >
> An: Math4u@yahoogroups.com
> Betreff: Re: [Math4u] Please answer this question

> Wouldn't this be represented by three circles on top of one-another,
> since E would be A, B and C in their entirety?
>
> On 10/25/07, ch_mshahid < ch_mshahid@yahoo.com> wrote:
> >
> > The universal set E is the set of all triangles. Given that
> > A= (isosceles triangles)
> > B= (equilateral triangles)
> > C= Obtuse - Angled triangles)
> > Illustrate the sets A, B and C within a Venn diagram.
> >
> >
> >

--
Der GMX SmartSurfer hilft bis zu 70% Ihrer Onlinekosten zu sparen!
Ideal für Modem und ISDN: http://www.gmx.net/de/go/smartsurfer

__._,_.___

Your email settings: Individual Email|Traditional
Change settings via the Web (Yahoo! ID required)
Change settings via email: Switch delivery to Daily Digest | Switch to Fully Featured
Visit Your Group | Yahoo! Groups Terms of Use | Unsubscribe

__,_._,___